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Finding the Fourth Proportional to 246.79, 370.19 and 165.79

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Solution

The fourth proportional to 246.79, 370.19 and 165.79 is: 248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.79 : 370.19 = 165.79 : x
  2. Step 2: Convert to fraction form
    246.79/370.19 = 165.79/x
  3. Step 3: Cross multiply
    246.79x = 370.19 × 165.79
  4. Step 4: Simplify right side
    246.79x = 61,373.80
  5. Step 5: Solve for x
    x = 61,373.80/246.79
  6. Step 6: Final answer
    x = 248.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.